In a class 20% of students wore glasses, 30% wore contact lenses, and 10% wore both glasses and contact lenses. What percentage of students in the class wear elder glasses or contact lenses?

In a class 20% of students wore glasses, 30% wore contact lenses, and 10% wore both glasses and contact lenses. What percentage of students in the class wear elder glasses or contact lenses?

Explanation


Given:

- Percentage of students who wore glasses: 20%

- Percentage of students who wore contact lenses: 30%

- Percentage of students who wore both glasses and contact lenses: 10%

Let's denote:

-A : Set of students who wore glasses

-B : Set of students who wore contact lenses

The formula for the union of two sets is given by:

Substitute the given values:

P(students who wear glasses or contact lenses) = 20% + 30% - 10% = 40%